Positive solutions for nonlinear parametric singular Dirichlet problems

We consider a nonlinear parametric Dirichlet problem driven by the ▫$p$▫-Laplace differential operator and a reaction which has the competing effects of a parametric singular term and of a Carathéodory perturbation which is ▫$p-1$▫-linear near ▫$+infty$▫. The problem is uniformly nonresonant with respect to the principal eigenvalue of ▫$(-Delta _p,W^{1,p}_0(Omega ))$▫. We look for positive solutions and prove a bifurcation-type theorem describing in an exact way the dependence of the set of positive solutions on the parameter ▫$lambda >0$▫